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Finding the Fourth Proportional to 6,628.24, 9,941.86 and 4,782.68

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Solution

The fourth proportional to 6,628.24, 9,941.86 and 4,782.68 is: 7,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.24 : 9,941.86 = 4,782.68 : x
  2. Step 2: Convert to fraction form
    6,628.24/9,941.86 = 4,782.68/x
  3. Step 3: Cross multiply
    6,628.24x = 9,941.86 × 4,782.68
  4. Step 4: Simplify right side
    6,628.24x = 47,548,734.98
  5. Step 5: Solve for x
    x = 47,548,734.98/6,628.24
  6. Step 6: Final answer
    x = 7,173.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.